We used a method to study the SFH based on LPVs and it was developed by [1]} which was explained in the previous papers in details (M33: [1]}, [3]}, [4]}, [5]}; LMC & SMC: [6]}; NGC 147 & NGC 185: [7]}; IC 1613: [8]}; Andromeda VII: [9]}; Andromeda I: [10]}). In the first step, we should obtain mass, age, and pulsation duration of LPVs (the duration that stars are in the LPV phase) by applying Padova evolutionary models ([11]}) for various constant metallicities. Furthermore, for studying the star formation history of the galaxy, we consider \(Z = 0.039\)  ([12]}; [13]}). By assuming all mentioned parameters, the SFRs for different bins with specified intervals in age and mass as follows:
\(\xi (t) = \frac{dn^\prime (t)}{\delta t}\ \frac{\int _{\rm min}^{\rm max}f_{\rm IMF}(m)m\ dm}{\int _{m(t)}^{m(t+dt)}f_{\rm IMF}(m)\ dm}\) 
